Atkin-Lehner |
2+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114800m |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4430793248000000 = 211 · 56 · 72 · 414 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66275,5733250] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:3444:1] |
Generators of the group modulo torsion |
j |
1006057824354/138462289 |
j-invariant |
L |
6.3859520985021 |
L(r)(E,1)/r! |
Ω |
0.41950227808316 |
Real period |
R |
0.95141797391665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999671549 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57400b4 4592a3 |
Quadratic twists by: -4 5 |